TSTP Solution File: NLP001+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : NLP001+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 01:54:53 EDT 2022
% Result : Theorem 1.81s 1.13s
% Output : Proof 2.60s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NLP001+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 30 23:56:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.59 ____ _
% 0.19/0.59 ___ / __ \_____(_)___ ________ __________
% 0.19/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.19/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.19/0.59
% 0.19/0.59 A Theorem Prover for First-Order Logic
% 0.19/0.59 (ePrincess v.1.0)
% 0.19/0.59
% 0.19/0.59 (c) Philipp Rümmer, 2009-2015
% 0.19/0.59 (c) Peter Backeman, 2014-2015
% 0.19/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.59 Bug reports to peter@backeman.se
% 0.19/0.59
% 0.19/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.59
% 0.19/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.71/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.50/0.93 Prover 0: Preprocessing ...
% 1.70/1.03 Prover 0: Constructing countermodel ...
% 1.81/1.12 Prover 0: proved (484ms)
% 1.81/1.13
% 1.81/1.13 No countermodel exists, formula is valid
% 1.81/1.13 % SZS status Theorem for theBenchmark
% 1.81/1.13
% 1.81/1.13 Generating proof ... found it (size 8)
% 2.38/1.29
% 2.38/1.29 % SZS output start Proof for theBenchmark
% 2.38/1.29 Assumed formulas after preprocessing and simplification:
% 2.38/1.29 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ((in(v1, v0) & down(v1, v3) & barrel(v1, v2) & old(v2) & dirty(v2) & white(v2) & car(v2) & chevy(v2) & lonely(v3) & way(v3) & street(v3) & event(v1) & city(v0) & hollywood(v0) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ in(v5, v4) | ~ down(v5, v6) | ~ barrel(v5, v7) | ~ old(v7) | ~ dirty(v7) | ~ white(v7) | ~ car(v7) | ~ chevy(v7) | ~ lonely(v6) | ~ way(v6) | ~ street(v6) | ~ event(v5) | ~ city(v4) | ~ hollywood(v4))) | (in(v1, v0) & down(v1, v2) & barrel(v1, v3) & old(v3) & dirty(v3) & white(v3) & car(v3) & chevy(v3) & lonely(v2) & way(v2) & street(v2) & event(v1) & city(v0) & hollywood(v0) & ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ in(v5, v4) | ~ down(v5, v7) | ~ barrel(v5, v6) | ~ old(v6) | ~ dirty(v6) | ~ white(v6) | ~ car(v6) | ~ chevy(v6) | ~ lonely(v7) | ~ way(v7) | ~ street(v7) | ~ event(v5) | ~ city(v4) | ~ hollywood(v4))))
% 2.60/1.30 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3 yields:
% 2.60/1.30 | (1) (in(all_0_2_2, all_0_3_3) & down(all_0_2_2, all_0_0_0) & barrel(all_0_2_2, all_0_1_1) & old(all_0_1_1) & dirty(all_0_1_1) & white(all_0_1_1) & car(all_0_1_1) & chevy(all_0_1_1) & lonely(all_0_0_0) & way(all_0_0_0) & street(all_0_0_0) & event(all_0_2_2) & city(all_0_3_3) & hollywood(all_0_3_3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ in(v1, v0) | ~ down(v1, v2) | ~ barrel(v1, v3) | ~ old(v3) | ~ dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3) | ~ lonely(v2) | ~ way(v2) | ~ street(v2) | ~ event(v1) | ~ city(v0) | ~ hollywood(v0))) | (in(all_0_2_2, all_0_3_3) & down(all_0_2_2, all_0_1_1) & barrel(all_0_2_2, all_0_0_0) & old(all_0_0_0) & dirty(all_0_0_0) & white(all_0_0_0) & car(all_0_0_0) & chevy(all_0_0_0) & lonely(all_0_1_1) & way(all_0_1_1) & street(all_0_1_1) & event(all_0_2_2) & city(all_0_3_3) & hollywood(all_0_3_3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ in(v1, v0) | ~ down(v1, v3) | ~ barrel(v1, v2) | ~ old(v2) | ~ dirty(v2) | ~ white(v2) | ~ car(v2) | ~ chevy(v2) | ~ lonely(v3) | ~ way(v3) | ~ street(v3) | ~ event(v1) | ~ city(v0) | ~ hollywood(v0)))
% 2.60/1.31 |
% 2.60/1.31 +-Applying beta-rule and splitting (1), into two cases.
% 2.60/1.31 |-Branch one:
% 2.60/1.31 | (2) in(all_0_2_2, all_0_3_3) & down(all_0_2_2, all_0_0_0) & barrel(all_0_2_2, all_0_1_1) & old(all_0_1_1) & dirty(all_0_1_1) & white(all_0_1_1) & car(all_0_1_1) & chevy(all_0_1_1) & lonely(all_0_0_0) & way(all_0_0_0) & street(all_0_0_0) & event(all_0_2_2) & city(all_0_3_3) & hollywood(all_0_3_3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ in(v1, v0) | ~ down(v1, v2) | ~ barrel(v1, v3) | ~ old(v3) | ~ dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3) | ~ lonely(v2) | ~ way(v2) | ~ street(v2) | ~ event(v1) | ~ city(v0) | ~ hollywood(v0))
% 2.60/1.31 |
% 2.60/1.31 | Applying alpha-rule on (2) yields:
% 2.60/1.31 | (3) down(all_0_2_2, all_0_0_0)
% 2.60/1.31 | (4) in(all_0_2_2, all_0_3_3)
% 2.60/1.31 | (5) white(all_0_1_1)
% 2.60/1.31 | (6) lonely(all_0_0_0)
% 2.60/1.31 | (7) way(all_0_0_0)
% 2.60/1.31 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ in(v1, v0) | ~ down(v1, v2) | ~ barrel(v1, v3) | ~ old(v3) | ~ dirty(v3) | ~ white(v3) | ~ car(v3) | ~ chevy(v3) | ~ lonely(v2) | ~ way(v2) | ~ street(v2) | ~ event(v1) | ~ city(v0) | ~ hollywood(v0))
% 2.60/1.31 | (9) hollywood(all_0_3_3)
% 2.60/1.31 | (10) dirty(all_0_1_1)
% 2.60/1.31 | (11) chevy(all_0_1_1)
% 2.60/1.31 | (12) event(all_0_2_2)
% 2.60/1.31 | (13) old(all_0_1_1)
% 2.60/1.31 | (14) car(all_0_1_1)
% 2.60/1.31 | (15) barrel(all_0_2_2, all_0_1_1)
% 2.60/1.31 | (16) city(all_0_3_3)
% 2.60/1.31 | (17) street(all_0_0_0)
% 2.60/1.31 |
% 2.60/1.31 | Instantiating formula (8) with all_0_1_1, all_0_0_0, all_0_2_2, all_0_3_3 and discharging atoms in(all_0_2_2, all_0_3_3), down(all_0_2_2, all_0_0_0), barrel(all_0_2_2, all_0_1_1), old(all_0_1_1), dirty(all_0_1_1), white(all_0_1_1), car(all_0_1_1), chevy(all_0_1_1), lonely(all_0_0_0), way(all_0_0_0), street(all_0_0_0), event(all_0_2_2), city(all_0_3_3), hollywood(all_0_3_3), yields:
% 2.60/1.32 | (18) $false
% 2.60/1.32 |
% 2.60/1.32 |-The branch is then unsatisfiable
% 2.60/1.32 |-Branch two:
% 2.60/1.32 | (19) in(all_0_2_2, all_0_3_3) & down(all_0_2_2, all_0_1_1) & barrel(all_0_2_2, all_0_0_0) & old(all_0_0_0) & dirty(all_0_0_0) & white(all_0_0_0) & car(all_0_0_0) & chevy(all_0_0_0) & lonely(all_0_1_1) & way(all_0_1_1) & street(all_0_1_1) & event(all_0_2_2) & city(all_0_3_3) & hollywood(all_0_3_3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ in(v1, v0) | ~ down(v1, v3) | ~ barrel(v1, v2) | ~ old(v2) | ~ dirty(v2) | ~ white(v2) | ~ car(v2) | ~ chevy(v2) | ~ lonely(v3) | ~ way(v3) | ~ street(v3) | ~ event(v1) | ~ city(v0) | ~ hollywood(v0))
% 2.60/1.32 |
% 2.60/1.32 | Applying alpha-rule on (19) yields:
% 2.60/1.32 | (20) old(all_0_0_0)
% 2.60/1.32 | (4) in(all_0_2_2, all_0_3_3)
% 2.60/1.32 | (22) car(all_0_0_0)
% 2.60/1.32 | (23) down(all_0_2_2, all_0_1_1)
% 2.60/1.32 | (24) white(all_0_0_0)
% 2.60/1.32 | (25) street(all_0_1_1)
% 2.60/1.32 | (26) chevy(all_0_0_0)
% 2.60/1.32 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ in(v1, v0) | ~ down(v1, v3) | ~ barrel(v1, v2) | ~ old(v2) | ~ dirty(v2) | ~ white(v2) | ~ car(v2) | ~ chevy(v2) | ~ lonely(v3) | ~ way(v3) | ~ street(v3) | ~ event(v1) | ~ city(v0) | ~ hollywood(v0))
% 2.60/1.32 | (28) way(all_0_1_1)
% 2.60/1.32 | (9) hollywood(all_0_3_3)
% 2.60/1.32 | (12) event(all_0_2_2)
% 2.60/1.32 | (31) dirty(all_0_0_0)
% 2.60/1.32 | (32) barrel(all_0_2_2, all_0_0_0)
% 2.60/1.32 | (33) lonely(all_0_1_1)
% 2.60/1.32 | (16) city(all_0_3_3)
% 2.60/1.32 |
% 2.60/1.32 | Instantiating formula (27) with all_0_1_1, all_0_0_0, all_0_2_2, all_0_3_3 and discharging atoms in(all_0_2_2, all_0_3_3), down(all_0_2_2, all_0_1_1), barrel(all_0_2_2, all_0_0_0), old(all_0_0_0), dirty(all_0_0_0), white(all_0_0_0), car(all_0_0_0), chevy(all_0_0_0), lonely(all_0_1_1), way(all_0_1_1), street(all_0_1_1), event(all_0_2_2), city(all_0_3_3), hollywood(all_0_3_3), yields:
% 2.60/1.33 | (18) $false
% 2.60/1.33 |
% 2.60/1.33 |-The branch is then unsatisfiable
% 2.60/1.33 % SZS output end Proof for theBenchmark
% 2.60/1.33
% 2.60/1.33 723ms
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